Arithmetic Sequence
Find the common difference of the sequence: 4,9,14,19,…
5
This is the sum of the terms of an arithmetic sequence.
arithmetic series
Find the common ratio of the sequence:
3,6,12,24,…
2
Find the sum:
1+2+4+8
15
A theater has 15 seats in the first row, 18 seats in the second row, and 21 seats in the third row. How many seats are in the fourth row?
24 seats
Express 5,000 in scientific notation.
5×103
Give the next term of the sequence:
25,21,17,13,…25, 21, 17, 13, \ldots25,21,17,13,…
9
Find the sum:
2+4+6+8+10
30
Give the next term of the sequence:
160,80,40,20,…
10
Find the sum of the first five terms of the geometric series
3+6+12+24+⋯
93
Maria saves ₱100 during the first week and increases her savings by ₱50 every week. How much will she save during the sixth week?
₱350
Write 3.2×104 in standard form.
32,000
Find the 12th term of the arithmetic sequence whose first term is 7 and common difference is 3.
40
Find the sum of the first 15 terms of the arithmetic sequence 3,7,11,15,…
465
Find the sixth term of the geometric sequence whose first term is 2 and common ratio is 3.
486
Find the sum of the first six terms of a geometric sequence whose first term is 2 and common ratio is 2.
126
A worker receives ₱500 on the first day, ₱550 on the second day, and ₱600 on the third day. How much will the worker receive in total after five days?
₱3,000
Express 0.0000750.0000750.000075 in scientific notation.
7.5×10-5
In an arithmetic sequence, a1=18 and a10= 63. Find the common difference.
5
An arithmetic series has 20 terms. Its first term is 6 and its last term is 63. Find its sum.
690
Find the sixth term of the geometric sequence whose first term is 2 and common ratio is 3.
- 1/3
Find the sum of the first five terms of the geometric series
81+27+9+3+⋯
121
A bacteria population starts at 200 and doubles every hour. How many bacteria will there be after five hours?
6,400 bacteria
Write 6.04×10-6 in standard form.
0.00000604
Which term of the arithmetic sequence
8,15,22,29,… is equal to 155?
22nd term
The sum of the first nnn terms of the sequence
5,8,11,14,… is 275. Find n.
10
Which term of the geometric sequence
5,10,20,40,… is equal to 640?
8th term
Find the sum to infinity:
24+12+6+3+⋯
48
A ball is dropped from a height of 64 meters. After each bounce, it reaches one-half of its previous height. What height will it reach after its fifth bounce?
2 meters
Simplify and express the answer in scientific notation:
(3×105)(4×103)
1.2×109